George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks
Answers
15 / 5 = 3
15 / 3 = 5
3 / 3 = 1
Therefore, he blinks 5 times a minute.
60 / 5 = 12
5 / 5 = 1
Therefore, he blinks once every 12 seconds.
51 / 1 = 51
51
X 12
= 102
+ 510
= 612
Therefore, 612 seconds passed during 51 blinks.
Related Questions
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?F. 4 G. 6 H. 18 J. 22 K. 24
I will make someone branleist if they answer this first 7/27 simplifed
75% of what number is 105
Help please. (There are two questions)
Answers
Answers
Answer:
Volume of beach ball is .
Step-by-step explanation:
Formula
Where r is the radius of the sphere .
As given
A beach ball has a radius of 12 in.
r = 12 in
Therefore the volume of beach ball is .
So I cubed 12, times by 4, and divided by 3, so the volume of the beach ball is 2,304(pi) cubic inches. Hope this helps.
Answers
2212 ÷ 79 = 28
221 ÷ 79 = 2 with remainder of 63, bring down 2 and it becomes 632
632 ÷ 79 = 8 with no remainder
so you got 28
Hope that helps you. :-)
2212/79=28
Work:
79)2212(28
-158
__________
632
-632
__________
0
HOPE THIS HELPS!!!!!!!!!
Answers
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
Answers
I don't know any slick way to do this. I would just list the prime numbers
between 40 and 50 and test them one at a time.
The prime numbers between 40 and 50 are: 41, 43, 47
Test 41:
-- add 1 . . . 42
-- prime factors of 42 . . . 2, 3, 7
-- sum of the factors . . . 12
Test 43:
-- add 1 . . . 44
-- prime factors of 44 . . . 2, 11
-- sum of the factors . . . 13
Test 47:
-- add 1 . . . 48
-- prime factors of 48 . . . 2, 3,
-- sum of the factors . . . 5
Maybe I'm not understanding how to list prime factors, but so far,
I haven't found any number that answers the question.
Maybe if I write the prime factorization of 44 like this:
44 = 2 * 2 * 11
Now the items in the prime factorization do add up to 15.
So the answer would seem to be 43.
miles.
Answers
Answer:
5 miles
Step-by-step explanation:
Think of this like a triangle. From the bottom of the tower, to the top of the tower, to the point 3 miles away, and back to the bottom of the tower.
So we already have 2 side lengths. The height of the tower, 3 miles, and the base, 4 miles. In order to find the 3rd length, the distance from the top of the tower to the point 4 miles away from the bottom, we need to apply the formula A squared + B squared = C squared.
We have A and B, (3 and 4) and we need C.
A squared (3 squared) is 9
B squared (4 squared) is 16
so 9 + 16 = C squared
9 + 16 = 25
C squared = 25
square root of 25 is 5
C = 5
The distance from the top of the tower to the point 4 miles away is 5.
Final answer:
By applying the Pythagorean theorem to the given problem, we find that the distance from the top of the tower to the point four miles away from the base of the tower is 5 miles.
Explanation:
Nimrod's problem is a classic application of the Pythagorean Theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the height of the tower is one side of the triangle (3 miles), and the distance from the base of the tower to the point Nimrod is interested in is the other side (4 miles). The distance from the top of the tower to that point is the hypotenuse.
Applying the Pythagorean theorem, we have: (Height of the tower)² + (Distance from the base to the point)² = (Distance from the top to the point)². So, this becomes: 3² + 4² = (Distance from the top to the point)². That simplifies into 9 + 16 = (Distance from the top to the point)², or 25 = (Distance from the top to the point)².
To find the actual distance (the length of the hypotenuse), we take the square root of 25, which is 5. Therefore, the distance from the top of the tower to the point four miles away from the base is 5 miles.
Using the Pythagorean theorem (a² + b² = c²), we can find the hypotenuse:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
c = √25
c = 5
So the distance from the top of the tower to the point four miles away from the base is 5 miles.
Learn more about Pythagorean theorem here:
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